AMS Special Session on Continued Fractions
This special session on continued fractions took place at the Joint Meetings in
San Antonio, Texas, in January 2006. On this page you can find the schedule
of talks, with links to abstracts and some pictures of the speakers. You will
also find some pictures from the post-session lunch and a few pictures of the river walk.
Click on the title of the talk to read the abstract. Click on the .jpg or .bmp link for a picture from the talk
(the .bmp files are slow to load).
Friday January 13, 2006, 8:00 a.m.-11:50
a.m. AMS Special Session on Continued Fractions, I
Organizers: Nancy Wyshinski , Trinity College Nancy.Wyshinski@trincoll.edu
James G. McLaughlin , Trinity College and West Chester
University jmclaughl@wcupa.edu
8:00 a.m. Convergence
of continued fractions. Lisa Lorentzen* , NTNU,
Trondheim, Norway Lisa.JPG Lisa.bmp
9:00 a.m. Some
Problems Suggested by Ramanujan's Work on Continued Fractions.
Bruce C Berndt* , University of Illinois Bruce.JPG
Bruce.bmp
9:30 a.m. Multidimensional
Continued Fractions and Toric Varieties. Thomas
Garrity* , Williams Tom.JPG TomG.bmp
10:00 a.m. Complex
Continued Fractions. Doug Hensley* , Texas
A\& M University Doug.JPG DougH.bmp
10:30 a.m. A
Randomized Variant of the Jacobi-Perron Algorithm.
Richard C. Burge* , Cool, CA Richard.JPG Richard.bmp
11:00 a.m. Quasiconformal
Connections Between Continued Fractions and Circle Packings.
G. Brock Williams* , Texas Tech University Brock.JPG Brock.bmp
11:30 a.m. A proof
of the continued fraction expansion of exp(1/M). Thomas
J. Osler* , Rowan University ThomasJ.JPG ThomasJ.bmp
Friday January 13, 2006, 1:00 p.m.-3:50
p.m. AMS Special Session on Continued Fractions, II
Organizers: Nancy Wyshinski , Trinity College Nancy.Wyshinski@trincoll.edu
James G. McLaughlin , Trinity College and West Chester
University jmclaughl@wcupa.edu
1:00 p.m. Ramanujan's
continued fractions via orthogonal polynomials. Mourad
E. H. Ismail* , University of Central Florida Dennis
Stanton , University of Minnesota Mourad.JPG Mourad.bmp
2:00 p.m. Szeg\H{o}
polynomials and para-orthogonal polynomials on the real line, and the
associated continued fractions. A. Sri Ranga* ,
DCCE/IBILCE, Universidade Estadual Paulista Cleonice F.
Bracciali , DCCE/IBILCE, Universidade Estadual Paulista
Eliana X. de Andrade , DCCE/IBILCE, Universidade
Estadual Paulista Ranga.JPG Ranga.bmp
2:30 p.m. Parabolic
Iterated Function Systems with Applications to the Backward Continued
Fractions. Eugen Andrei Ghenciu* , University
of North Texas, Denton, Texas Eugen.JPG Eugen.bmp
3:00 p.m. Distribution
Analysis Using PPC-Continued Fractions. William B.
Jones , University of Colorado, Boulder Walter M.
Reid* , University of Wisconsin-Eau Claire Walter.JPG Walter.bmp
3:30 p.m. Continued
Fraction Handbook Project. William B. Jones* ,
University of Colorado, Boulder Bill.JPG Bill.bmp
Saturday January 14, 2006, 8:00 a.m.-10:50
a.m. AMS Special Session on Continued Fractions, III
Organizers: Nancy Wyshinski , Trinity College Nancy.Wyshinski@trincoll.edu
James G. McLaughlin , Trinity College and West Chester
University jmclaughl@wcupa.edu
8:00 a.m. Accumulation
Point Sets for Infinite Matrix Products and Continued Fractions.
Douglas C Bowman* , Northern Illinois University
James McLaughlin , West Chester University Doug.JPG Doug.bmp
9:00 a.m. A
$q$-continued fraction and some new proofs of some old continued fraction
identities. James Mc Laughlin* , West Chester
University, West Chester, PA. Douglas Bowman , Northern
Illinois University Nancy J Wyshinski , Trinity College,
Hartford, CT. Jimmy.JPG Jimmy.bmp
9:30 a.m. Inhomogeneous
Diophantine approximation for irrationals with quasi-periodic continued
fractions. Mary E. Flahive* , Oregon State
University Richard T. Bumby , Rutgers, The State
University of New Jersey Mary.JPG Mary.bmp
10:00 a.m. Resurrecting
the divided cell algorithm for inhomogeneous Diophantine
approximation. Richard T. Bumby* , Rutgers, The
State University of New Jersey Mary E. Flahive , Oregon
State University RichardB.JPG RichardB.bmp
10:30 a.m. Expressing
real quadratic irrationals as period-two continued fractions and their
connections with diophantine approximation. Edward B
Burger* , Williams College Ed.JPG
Ed.bmp
The Post-Special Session Lunch
Below are some pictures from the post-session lunch.
Rumours that the San Antonio police had to be called at one point are totally unfounded.
lunch5.bmp
lunch6.bmp
lunch7.bmp
lunch8.bmp
lunch9.bmp
lunch10.bmp
lunch11.bmp
lunch12.bmp
Lunch1.JPG
Lunch2.JPG
Lunch3.JPG
Some Pictures from the Riverwalk
SA1.JPG
SA2.JPG
SA3.JPG
SA4.JPG
SA5.JPG
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